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  List of known Seiberg-dual pairs of N=1 gauge theories

+ 14 like - 0 dislike

Is there a nice list of known Seiberg-dual pairs somewhere? There are so many papers from the middle 1990s but I do not find comprehensive review. Could you suggest a reference?

If there's no reference, could somebody make the list and post it here?

Seiberg's original paper is this Inspire entry and its cited by these papers. Could someone go through this list of 1000 papers and make the list?

This post has been migrated from (A51.SE)
asked Oct 12, 2011 in Theoretical Physics by Yuji (1,395 points) [ no revision ]

3 Answers

+ 8 like - 0 dislike

A list of some dual pairs for exceptional gauge groups is in

  • Jacques Distler, Andreas Karch, N=1 Dualities for Exceptional Gauge Groups and Quantum Global Symmetries (arXiv:hep-th/9611088)

For non-exceptional gauge groups there are "lists" in the form of explicit algorithms for how to construct the dual partner, see section 4 of

  • Subir Mukhopadhyay, Koushik Ray, Seiberg duality as derived equivalence for some quiver gauge theories (arXiv:hep-th/0309191).

In as far as a comprehensive list of such lists is missing in the literature, one could construct one on a page like this (if one had the time...)

This post has been migrated from (A51.SE)
answered Oct 20, 2011 by Urs Schreiber (6,095 points) [ no revision ]
For exceptional gauge groups, I would add the following papers to the one listed above. http://arxiv.org/pdf/hep-th/9702179v1 http://arxiv.org/pdf/hep-th/9712116v1

This post has been migrated from (A51.SE)
Thanks, [done](http://ncatlab.org/nlab/show/Seiberg+duality#ExamplesForExceptionalGaugeGroups). Hm, that might need more discussion.

This post has been migrated from (A51.SE)
@Urs There are also Pouliot's class of Seiberg dualities, where a chiral theory is mapped to a non-chiral one: http://arXiv.org/abs/hep-th/9507018 etc. Can I convert my question to a community wiki, and make the answer itself as the list?

This post has been migrated from (A51.SE)
@Yuji: You can't award a bounty to yourself. You can start an answer and flag it as community wiki. Alternatively, you can edit an answer posted by another person. Any answer, after enough edits (don't know the threshold) turns into community wiki -- even if the original answerer doesn't want it to. So that's something to bear in mind for diplomacy. But if you don't want the bounty to be lost, you need to award it to someone who answers and is not you.

This post has been migrated from (A51.SE)
Nobody has given me the definitive list as the answer. So, the bounty will be lost, too bad!

This post has been migrated from (A51.SE)
@Urs: That paper by Mukhopadhyay and Ray only talks about SU groups, so your characterization of it as about "non-exceptional" sounds a bit off the point to me. Also, on your ncat page, you say Seiberg duality is formalized as derived equivalences of quivers, but mathematical quivers are again only for U or SU groups... I don't understand why most of the mathematicians only care about U(N) quivers. They can easily analyze SO or Sp quivers, can't they???

This post has been migrated from (A51.SE)
@Yuji: It is unfortunate that you haven't gotten a definitive answer, but if it doesn't already exist in the literature, it seems unlikely that you will find anyone here with the requisite background knowledge prepared to spend the time it takes to go through 1000 papers to generate the list.

This post has been migrated from (A51.SE)
@Joe I knew that the list doesn't exist in the literature, that's why I asked here :p I learned that I should've asked this question after the tp.se community grew up more.

This post has been migrated from (A51.SE)
Maybe, but it really seems to require a huge time investment by anyone giving such an answer. Perhaps a better approach would be via community wiki, where people simply edit the top answer to add in any they are aware of that are not already listed.

This post has been migrated from (A51.SE)
I agree. I think Urs deserves many points anyway through his contribution to tp.se at large, so I "accept" his answer :)

This post has been migrated from (A51.SE)
@Yuji: for Urs to get the full bounty you have to explicitly award it. I am pretty sure just accepting an answer only awards half the bounty when the time expires. Perhaps that is your intention, but in case not, I figured I would let you know.

This post has been migrated from (A51.SE)
Ah, I see. Then I'll award him the bounty, but I don't accept his answer!

This post has been migrated from (A51.SE)
+ 3 like - 0 dislike

Here is a review by Chaichian, Chen and Montonen:


This post has been migrated from (A51.SE)
answered Oct 12, 2011 by M. E. Irizarry-Gelpí (30 points) [ no revision ]
Thanks, but I was not asking for reviews. I'm looking for a comprehensive list of dual pairs.

This post has been migrated from (A51.SE)
+ 3 like - 0 dislike

I had seen some such "list" in the papers by Romelsberger and those by Spiridinov and Vartanov. Maybe you are looking for papers like these,

  • Christian Romelsberger, Calculating the Superconformal Index and Seiberg Duality (arXiv:0707.3702)

  • V.P. Spiridonov, G.S. Vartanov, Supersymmetric dualities beyond the conformal window (arXiv:1003.6109)

This post has been migrated from (A51.SE)
answered Oct 20, 2011 by Anirbit (585 points) [ no revision ]
Thanks, but neither of them is complete, e.g. they don't contain duals with exceptional gauge groups ...

This post has been migrated from (A51.SE)

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